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(a).
To graph: The three points
(a).
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information: The given transformation is
Graph:
To find the images of the given points, consider the expression for given transformation:
To determine image of point
Therefore, image of point
To determine image of point
Therefore, image of point
To determine image of point
So, the image of point
Plot and connect the ordered pair
Interpretation:
In the above graph,
(b).
To find: Whether the given transformation appears to be an isometric or not.
(b).
![Check Mark](/static/check-mark.png)
Answer to Problem 7WE
The given transformation appears not to be an isometric.
Explanation of Solution
Given information: The given transformation is
Calculation:
As calculated in the above graph,
In the theorem of transformations, an isometry maps a triangle to a congruent triangle.
For mapping the distances between image and point must be same such as
,
The expression for distance formula is:
Let, the point of
To determine the distance
Let, the point of
To determine the distance
Let, the point of
To determine the distance
Let, the point of
To determine the distance
Let, the point of
To determine the distance
Let, the point of
To determine the distance
Therefore, from the above it is prove that
(c).
To find: The coordinates of the preimage of the given point.
(c).
![Check Mark](/static/check-mark.png)
Answer to Problem 7WE
The coordinates of the preimage of the given point is
Explanation of Solution
Given information: The given transformation is
Calculation:
The given transformation is
On comparing the two values of
On comparing the two values of
Therefore, the coordinates of the preimage of
Chapter 14 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
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